Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
640 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13126148 | C2 | semidirect |
| 2. #13125774 | C2 | semidirect |
| 4. #13115763 | C2 | semidirect |
| 5. #13113330 | C2 | semidirect |
| 6. #13112687 | C2 | semidirect |
| 7. C13×#1986 | C2 | semidirect |
| 106. C13×M16 | SD16 | semidirect |
| 137. #1986 | D13 | semidirect |
| 318. M16 | #6106 | semidirect |
| 342. C13 | #10194 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126148 | 2 |
| #13125774 | 2 |
| #13125288 | 2 |
| #13115763 | 2 |
| #13113330 | 2 |
| #13112687 | 2 |
| C13×#1986 | 2 |
| #10194 | 13 |